Quality Air Conditioning manufacturen three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are \$63, \$95, and \$1.35, respectively, The production fequirements per unit are as follows: For the coming production petiod, the company has 220 tan motors, 360 cooling coils, and 2,600 bours of manufacturing timio avallable. How many econcmy modinis (F. standard modele (S), and deluxe modeis (O) should the company produce in order to maximise probit? The linear prognamming model for the problem is as followi Max:69E+955+13501E+15+1022015Fanmotors1E25+40=700CocliogcollseE+175+140:2500Manulacturingtime The computer solution is shown below. OptimalObjectiveValue=18340.00000 (a) Identify the range of optimality for each obiective function coefficlent. (If there is no upper or lower limit, enter No LIMLT. (b) Suppose the profit for the economy model is increased by $6 per unit; the proff for the standard model is decreaced by $2 per unit, and the prokit for the delune midef is increased by $4 per unit. What will the new optimal solution be? (c) Identify the range of feasibility for the right-hand-side valuee. (If there is no upper or lawer limit, enter no LMIT.) constraint 1 constraint? constraint 7 (d) If the number of far motoce avallable for production is increased by 100 , will the dual value for that ponstraint change? Exphin. Yes, the dual value will change because 100 is greater than the allowable incresse of 12 . Yes, the dual value will ctange because 100 is greater than the allowable increase of 70. No, the dual value will not change because there is no upper limit to bow much the constraint can incraase: No, the duat value will not charyge because 100 is less than the allowable increse of 290